516106407824 has 40 divisors (see below), whose sum is σ = 1161541603008. Its totient is φ = 217562417280.

The previous prime is 516106407823. The next prime is 516106407899. The reversal of 516106407824 is 428704601615.

It is not an unprimeable number, because it can be changed into a prime (516106407823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37764422 + ... + 37778085.

Almost surely, 2^516106407824 is an apocalyptic number.

It is an amenable number.

516106407824 is an abundant number, since it is smaller than the sum of its proper divisors (645435195184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516106407824 is a wasteful number, since it uses less digits than its factorization.

516106407824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75542583 (or 75542577 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 516106407824 in words is "five hundred sixteen billion, one hundred six million, four hundred seven thousand, eight hundred twenty-four".